Factors of 238
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238. It has 8 factors.
Factors of 238
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 238 is a whole number that divides it with nothing left over. You only need to test the numbers up to √238 ≈ 15.43; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 8 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 2 + 7 + 14 + 17 + 34 + 119 + 238 = 432. Without 238 itself that is 194, so 238 is a deficient number.
LaTeX source of the formulas on this page
\[ 238 = 2 \times 7 \times 17 \]
Factor pairs of 238
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 238 | 1 × 238 = 238 |
| 2 | 119 | 2 × 119 = 238 |
| 7 | 34 | 7 × 34 = 238 |
| 14 | 17 | 14 × 17 = 238 |
Questions
What are the factors of 238?
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238. It has 8 factors.
What are the prime factors of 238?
2, 7, 17. As a product: 2 × 7 × 17.
How many factors does 238 have?
238 has 8 factors (4 factor pairs).
What is the sum of the factors of 238?
432.
Is 238 a prime number?
No. It is divisible by 2, so 238 = 2 × 119.